TY - JOUR
T1 - The Mean Wind and Potential Temperature Flux Profiles in Convective Boundary Layers
AU - Liu, Luoqin
AU - Gadde, Srinidhi N.
AU - Stevens, Richard J.A.M.
N1 - Funding Information:
Acknowledgments. This work was supported by the Hundred Talents Program of the Chinese Academy of Sciences, the National Natural Science Fund for Excellent Young Scientists Fund Program (Overseas), the National Natural Science Foundation of China Grant (11621202), the Shell–NWO/FOM initiative Computational sciences for energy research of Shell and Chemical Sciences, Earth and Life Sciences, Physical Sciences, Stichting voor Fundamenteel Onderzoek der Materie (FOM) and STW, and an STW VIDI Grant (14868). This work was sponsored by NWO Domain Science for the use of the national computer facilities. We acknowledge PRACE for awarding us access to Irene at Très Grand Centre de Calcul du CEA (TGCC) under PRACE Project 2019215098, and the advanced computing resources provided by the Supercomputing Center of the USTC.
Funding Information:
This work was supported by the Hundred Talents Program of the Chinese Academy of Sciences, the National Natural Science Fund for Excellent Young Scientists Fund Program (Overseas), the National Natural Science Foundation of China Grant (11621202), the Shell–NWO/FOM initiative Computational sciences for energy research of Shell and Chemical Sciences, Earth and Life Sciences, Physical Sciences, Stichting voor Fundamenteel Onderzoek der Materie (FOM) and STW, and an STW VIDI Grant (14868). This work was sponsored by NWO Domain Science for the use of the national computer facilities. We acknowledge PRACE for awarding us access to Irene at Très Grand Centre de Calcul du CEA (TGCC) under PRACE Project 2019215098, and the advanced computing resources provided by the Supercomputing Center of the USTC.
Publisher Copyright:
© 2023 American Meteorological Society.
PY - 2023/8/2
Y1 - 2023/8/2
N2 - We develop innovative analytical expressions for the mean wind and potential temperature flux profiles in convective boundary layers (CBLs). CBLs are frequently observed during daytime as Earth’s surface is warmed by solar radiation. Therefore, their modeling is relevant for weather forecasting, climate modeling, and wind energy applications. For CBLs in the convective-roll-dominated regime, the mean velocity and potential temperature in the bulk region of the mixed layer are approximately uniform. We propose an analytical expression for the normalized potential temperature flux profile as a function of height, using a perturbation method approach in which we employ the horizontally homogeneous and quasi-stationary characteristics of the surface and inversion layers. The velocity profile in the mixed layer and the entrainment zone is constructed based on insights obtained from the proposed potential temperature flux profile and the convective logarithmic friction law. Combining this with the well-known Monin–Obukhov similarity theory allows us to capture the velocity profile over the entire boundary layer height. The proposed profiles agree excellently with large-eddy simulation results over the range of 2L/z0 2 [3.6 3 102, 0.7 3 105], where L is the Obukhov length and z0 is the roughness length.
AB - We develop innovative analytical expressions for the mean wind and potential temperature flux profiles in convective boundary layers (CBLs). CBLs are frequently observed during daytime as Earth’s surface is warmed by solar radiation. Therefore, their modeling is relevant for weather forecasting, climate modeling, and wind energy applications. For CBLs in the convective-roll-dominated regime, the mean velocity and potential temperature in the bulk region of the mixed layer are approximately uniform. We propose an analytical expression for the normalized potential temperature flux profile as a function of height, using a perturbation method approach in which we employ the horizontally homogeneous and quasi-stationary characteristics of the surface and inversion layers. The velocity profile in the mixed layer and the entrainment zone is constructed based on insights obtained from the proposed potential temperature flux profile and the convective logarithmic friction law. Combining this with the well-known Monin–Obukhov similarity theory allows us to capture the velocity profile over the entire boundary layer height. The proposed profiles agree excellently with large-eddy simulation results over the range of 2L/z0 2 [3.6 3 102, 0.7 3 105], where L is the Obukhov length and z0 is the roughness length.
KW - Atmosphere
KW - Boundary layer
KW - Convective parameterization
KW - Idealized models
KW - Large eddy simulations
KW - NLA
UR - http://www.scopus.com/inward/record.url?scp=85169663054&partnerID=8YFLogxK
U2 - 10.1175/JAS-D-22-0159.1
DO - 10.1175/JAS-D-22-0159.1
M3 - Article
AN - SCOPUS:85169663054
SN - 0022-4928
VL - 80
SP - 1893
EP - 1903
JO - Journal of the atmospheric sciences
JF - Journal of the atmospheric sciences
IS - 8
ER -
